Some cats can be trained to jump from one location to another and perform other tricks. kit the cat is going to jump through a hoop. he begins on a wicker cabinet at a height of 1.710 m above the floor and jumps through the center of a vertical hoop, reaching a peak height 3.115 m above the floor. (assume the center of the hoop is at the peak height of the jump. assume that +x axis is in the direction of the hoop from the cabinet and +y axis is up. assume g = 9.81 m/s2.)
(a) with what initial velocity did kit leave the cabinet if the hoop is at a horizontal distance of 1.569 m from the cabinet? (express your answer in vector form. give your answer to at least two decimal places for each vector component.)
(b) if kit lands on a bed at a horizontal distance of 3.591 m from the cabinet, how high above the ground is the bed?